Part of K C Cole’s teaser for tomorrow’s Categorically Not! - Inside Out said:
Sometimes the results are surprising: circles in the plane can’t be turned inside out, but spheres in 3-dimensional space can be.
This is all the license I need to show you* this wonderful 21 minute video showing exactly that (and explaining some rather beautiful mathematics along the way):
Direct link to the Google Video (for larger viewing) here.
Enjoy!
-cvj
On this day on Asymptotia...
- Green Elegance - 2009
- Warmth - 2008
- ’T Ain't Natural - 2007
- Categorically Not! - Inside Out - 2007
- Hang In There, Rob Knop! - 2006
- More Scenes From the Storm in a Teacup, V - 2006
- Discovery of Top Young Scientists - 2006
- Panel Matters - 2006
Some Related Asymptotia Posts (not exhaustive):
Is there a direct link between how we use consciousness and mathematics to present “consistency in our sociological thinking?”
So if we used a circle and a sphere “more correctly” we can expand the philosophy we are developing according to the inhernet nature of that math? Would you want too?
Hi, Professor. Johnson
This is John Chae from phys408b last semester.
I was looking around your website and happened to wonder into this site. Actually, the reason was the name of this website. )
This video clip was REALLY amazing. I never thought about it. Of course.
I was amazed by the idea and its lower dimension analogy to a circle. I will visit
whenever I have time from now on.
bye
John
Hi John!
I hope all is well.
Thanks for stopping by! Come back soon!
-cvj